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Finding the Fourth Proportional to 309.41, 464.19 and 104.00

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Solution

The fourth proportional to 309.41, 464.19 and 104.00 is: 156.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.41 : 464.19 = 104.00 : x
  2. Step 2: Convert to fraction form
    309.41/464.19 = 104.00/x
  3. Step 3: Cross multiply
    309.41x = 464.19 × 104.00
  4. Step 4: Simplify right side
    309.41x = 48,273.05
  5. Step 5: Solve for x
    x = 48,273.05/309.41
  6. Step 6: Final answer
    x = 156.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.